If a triangle has a 32° angle and a 67° angle, what is the measurement of the third angle?
To find the measurement of the third angle in a triangle, we need to know that the sum of all three angles in a triangle is always 180°.
Given that one angle is 32° and another angle is 67°, we can solve for the third angle using the equation:
32° + 67° + x = 180°
Combining like terms, we have:
99° + x = 180°
Subtracting 99° from both sides, we get:
x = 180° - 99°
Simplifying, the measurement of the third angle is:
x = 81°
To find the measurement of the third angle in a triangle, we need to use the fact that the sum of the angles in any triangle is always 180 degrees.
In this case, we know that the triangle has a 32° angle and a 67° angle. To find the measurement of the third angle, we can subtract the sum of these two angles from 180°.
Third angle = 180° - (32° + 67°)
Third angle = 180° - 99°
Third angle = 81°
Therefore, the measurement of the third angle is 81 degrees.
To find the measurement of the third angle of a triangle, we need to know that the sum of all angles in a triangle is always 180 degrees.
Let's find the measurement of the third angle:
1. Add the given angles: 32° + 67° = 99°
2. Subtract the sum from 180°: 180° - 99° = 81°
Therefore, the measurement of the third angle is 81°.
If two angles of a triangle add up to 110° , what is the measure of the third angle?
To find the measure of the third angle in a triangle, we need to know that the sum of all three angles in a triangle is always 180°.
Given that the sum of two angles in the triangle is 110°, we can solve for the measure of the third angle using the equation:
x + 110° = 180°
Subtracting 110° from both sides, we get:
x = 180° - 110°
Simplifying, the measure of the third angle is:
x = 70°
Therefore, the measure of the third angle is 70°.
If two angles of a triangle add up to 75° what is the measure of the third angle?
To find the measure of the third angle in a triangle, we need to know that the sum of all three angles in a triangle is always 180 degrees.
Given that the sum of two angles in the triangle is 75 degrees, we can solve for the measure of the third angle using the equation:
x + 75 = 180
Subtracting 75 from both sides, we get:
x = 180 - 75
Simplifying, the measure of the third angle is:
x = 105 degrees
Therefore, the measure of the third angle is 105 degrees.
If a triangle has a 22° angle and a 46° angle, what can be established about the third angle measure and the type of triangle?(1 point)
Responses
To determine the measure of the third angle and the type of triangle, we need to know that the sum of all three angles in a triangle is always 180 degrees.
Given that one angle is 22° and another angle is 46°, we can find the measure of the third angle using the equation:
22° + 46° + x = 180°
Combining like terms, we have:
68° + x = 180°
Subtracting 68° from both sides, we get:
x = 180° - 68°
Simplifying, the measure of the third angle is:
x = 112°
With a 112° third angle, we can establish that the triangle is an obtuse triangle. This is because an obtuse triangle has one angle greater than 90°. In this case, the third angle (112°) is greater than 90°.
Therefore, the measure of the third angle is 112° and the triangle is an obtuse triangle.
Can a triangle have two right angles, and why or why not?
No, a triangle cannot have two right angles. A right angle measures exactly 90 degrees, and since the sum of all angles in a triangle is always 180 degrees, having two right angles would mean that the remaining angle would have to measure 0 degrees. However, a triangle with an angle measuring 0 degrees would not have any length on one side, making it degenerate and not a traditional triangle.
Can a triangle have two right angles, and why or why not?(1 point)
Responses
Yes, because 90 + 90 = 180.
Yes, because 90 plus 90 equals 180 .
No, because a triangle must have an obtuse angle.
No, because a triangle must have an obtuse angle.
No, because there needs to be a third angle.
No, because there needs to be a third angle.
Yes, because it would be a right triangle.
No, a triangle cannot have two right angles. A right angle measures 90 degrees, and the sum of all angles in a triangle always adds up to 180 degrees. If a triangle had two right angles, the sum would be 180 degrees, which means there would be no room for a third angle. Therefore, a triangle cannot have two right angles.
wich one
No, because a triangle must have an obtuse angle.
If a triangle has angles measuring 46°, 51°, and 83°, what type of triangle is it?(1 point)
Responses
small triangle
small triangle
acute triangle
acute triangle
obtuse triangle
obtuse triangle
right triangle
To determine the type of triangle with angles measuring 46°, 51°, and 83°, we can compare the measures of the angles to the definitions of different types of triangles.
An acute triangle has all three angles less than 90°.
A right triangle has one angle measuring exactly 90°.
An obtuse triangle has one angle greater than 90°.
Given that the angles of the triangle measure 46°, 51°, and 83°, we can conclude that all three angles are less than 90°. Therefore, the triangle is an acute triangle.
Use the properties of exterior angles of triangles to find angle b.
(1 point)
Responses
38°
38 degrees
232°
232 degrees
52°
52 degrees
92°
the triangle has one point that says 142°
To find angle b, we need to use the property that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.
Given the information provided, it appears that angle b is an exterior angle of the triangle. However, without additional information or a diagram, it is not possible to determine the exact value of angle b.
Please provide more information or a diagram to accurately determine the measure of angle b.